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Finding the Third Proportional to 302,471 and 446,788

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Solution

The third proportional to 302,471 and 446,788 is: 659,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,471 : 446,788 = 446,788 : x
  2. Step 2: Convert to fraction form
    302,471/446,788 = 446,788/x
  3. Step 3: Cross multiply
    302,471x = 446,788 × 446,788
  4. Step 4: Simplify right side
    302,471x = 199,619,516,944
  5. Step 5: Solve for x
    x = 199,619,516,944/302,471
  6. Step 6: Final answer
    x = 659,962.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.